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53506206 = 232131072137
BaseRepresentation
bin1100110000011…
…1000010011110
310201200101201100
43030013002132
5102144144311
65150453530
71216536525
oct314070236
9121611640
1053506206
1128226006
1215b042a6
13b1152a0
14716b4bc
154a6da56
hex330709e

53506206 has 48 divisors (see below), whose sum is σ = 126073584. Its totient is φ = 16301952.

The previous prime is 53506183. The next prime is 53506207. The reversal of 53506206 is 60260535.

53506206 is a `hidden beast` number, since 5 + 35 + 0 + 620 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53506206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53506207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23970 + ... + 26106.

It is an arithmetic number, because the mean of its divisors is an integer number (2626533).

Almost surely, 253506206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53506206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63036792).

53506206 is an abundant number, since it is smaller than the sum of its proper divisors (72567378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53506206 is a wasteful number, since it uses less digits than its factorization.

53506206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53506206 is about 7314.7936402882. The cubic root of 53506206 is about 376.8206714422.

The spelling of 53506206 in words is "fifty-three million, five hundred six thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1391 1926 2137 2782 4173 4274 6411 8346 12519 12822 19233 25038 27781 38466 55562 83343 166686 228659 250029 457318 500058 685977 1371954 2057931 2972567 4115862 5945134 8917701 17835402 26753103 53506206